That 8/3 romex with the ground will do the trick. Unscrew the panel door and identify what type of breaker you will need. Chances are its (although I can't be 100% sure because I can't zoom into the small details to be certain) a 2-pole 50A Murray plug-in type breaker. If I'm wrong just take a close-up picture of the front of one of the breakers so I can be certain.
Find an available 3/4" diameter knockout. You want it to be on top.From the inside top view you would need a pre-made concentric knockout (pop out the inner round and then pry off both sides of the first outer ring of the available knockout topside). Try to pop it out from the inside with a heavy flat screwdriver and bang it out by tapping the handle end of the screwdriver with the open side of the lineman pliers. Then cutout a small square of the wallboard immediately above the panel and in front of the romex connector location (small yet big enough to fit the 2-screw romex squeeze connector) and stick the 3/4" Romex connector in the knockout and don't forget to tighten that locknut by banging on the ridges with the flat screwdriver and pliers (try not to make contact with the live copper bus) .
In so far we have the breaker installed and the 3/4" romex connector. Now plan your route to drill and chop through the walls or just surface mount the romex cable to limit chopping and patching (not allowed by Code but hey, who are we kidding) with 3/4" one hole emt straps screwed into the wall studs and ceiling rafters with 2" course drywall screws and back the strap with 1-1/4" diameter (read
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ne and a quarter inch) x 1/4" hole fender washers. If you need to pop through the ceiling with the cable save yourself some hassle (I wouldn't normally do it this way but I have a feeling you would like some shortcuts that don't neccessarily infringe on safety) and make a hole about 5" away from the wall and through the ceiling (to avoid a timber) for a 1" EMT sleeve that extends 1" below the ceiling and 1" above the floor. Pull your romex through such a sleeve (if you are doing the ghetto surface mounting method, nothing to be ashamed of) every time you need to run it through a floor or wall.
When you are done with the entire run and all wires are terminated within the panel enclosure to their respective breakers and isolated grounding bar at the controller, main grounding conductor connection at the breaker panel, just fill the romex containing emt nipple sleeves with silicone on each end (light tight when necessary ). You may need to use a toggle bolt or two if you absolutely need a strap somewhere that a stud is not located for the drywall screw to bite. Use 1/4" x 3" long toggle bolt/wings and drill through the wallboard with a 7/8" hole saw (preferably but knocking through the toggle bolt hole with a screwdriver and pliers could also do the trick) aligned with the strap hole if a toggle is to be used. Questions?